Localization-Delocalization Transition in the Random Dimer Model

Abstract

The random-dimer model is probably the most popular model for a one-dimensional disordered system where correlations are responsible for delocalization of the wave functions. This is the primary model used to justify the insulator-metal transition in conducting polymers and in DNA. However, for such systems, the localization-delocalization regimes have only been observed by deeply modifying the system itself, including the correlation function of the disordered potential. In this article, we propose to use an ultracold atomic mixture to cross the transition simply by externally tuning the interspecies interactions, and without modifying the impurity correlations.

5 pages, 4 figures, revised version.

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• Non-standard Hubbard models in optical lattices: a review
• Bose-Hubbard model with occupation dependent parameters
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Topological Anderson insulators induced by random binary disorders
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
• Hubbard model for atomic impurities bound by the vortex lattice of a rotating BEC
• A proposed signature of Anderson localization and correlation-induced delocalization in an N-leg optical lattice
• Single-particle localization in dynamical potentials
• Controlling disorder with periodically modulated interactions
• The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlations
• Enhancing quantum coherence with short-range correlated disorder
• Role of correlations and off-diagonal terms in binary disordered one dimensional systems
• A Metal-Insulator transition induced by Random Dipoles
• Localization of an inhomogeneous Bose-Einstein condensate in a moving random potential
• Random dimer model in pseudo two-dimensional lattices
• Phase Coherence and Fragmentation of Two-Component Bose-Einstein Condensates Loaded in State-Dependent Optical Lattices
• Universal scheme to generate metal-insulator transition in disordered systems
• Density wave propagation in a two-dimensional random dimer potential: from a single to a bipartite square lattice